Update app.py

app.py

@@ -330,11 +330,10 @@ def get_difficulty_parameters(difficulty_level):
     """Return specific parameters and constraints based on difficulty level"""
     parameters = {
         1: {  # Very Easy
-            "description": "very easy, suitable for beginners",
+            "description": "suitable for beginners",
             "constraints": [
                 "Use only basic concepts and straightforward calculations",
                 "Break complex problems into smaller, guided steps",
-                "Provide hints within the question when needed",
                 "Use simple numbers and avoid complex algebraic expressions"
             ],
             "example_style": "Similar to standard homework problems",
@@ -344,7 +343,6 @@ def get_difficulty_parameters(difficulty_level):
             "description": "easy, but requiring some thought",
             "constraints": [
                 "Use basic concepts with minor complications",
-                "Include two-step problems",
                 "Minimal guidance provided",
                 "Use moderately complex numbers or expressions"
             ],
@@ -359,7 +357,7 @@ def get_difficulty_parameters(difficulty_level):
                 "Require multi-step reasoning",
                 "Use moderate algebraic complexity"
             ],
-            "example_style": "Similar to midterm exam questions",
+            "example_style": "Similar to intermediate-difficulty exam questions",
             "model": "claude-3-5-sonnet-20241022"
         },
         4: {  # Difficult
@@ -367,10 +365,9 @@ def get_difficulty_parameters(difficulty_level):
             "constraints": [
                 "Combine multiple concepts creatively",
                 "Require insight and deep understanding",
-                "Include non-standard approaches",
                 "Use sophisticated mathematical reasoning"
             ],
-            "example_style": "Similar to final exam questions",
+            "example_style": "Similar to challenging exam questions",
             "model": "claude-3-5-sonnet-20241022"
         },
         5: {  # Very Difficult
@@ -442,14 +439,14 @@ The application question MUST:
     2. Translate the practical problem into mathematical terms
     3. Solve using appropriate mathematical techniques
     4. Interpret the results in the context of the original problem
-Example contexts might include:
-- Physics applications (motion, forces, work)
-- Engineering scenarios (optimization, rates of change)
-- Economics problems (cost optimization, growth models)
-- Biological systems (population growth, reaction rates)
-- Business applications (profit maximization, inventory management)
-- Social science applications (demographic models, social network analysis)
-- Data science applications (regression, statistical analysis)
+- Randomly select one of these topic areas with equal probability
+    * Physics applications (motion, forces, work)
+    * Engineering scenarios (
+    * Economics problems 
+    * Biological systems 
+    * Business applications 
+    * Social science applications 
+    * Data science applications 
 """,
         "proof": """
 The proof question MUST:
@@ -494,7 +491,9 @@ def generate_question(subject, difficulty, question_type):
         request_history.append(now)
         
         topics = {
-            "Single Variable Calculus": ["limits", "derivatives", "integrals", "series", "applications"],
+            "Single Variable Calculus": ["limits", "derivatives", "integrals", "series", "related rates", 
+                                         "linear_approximation", "lhopitals rule", "integration techniques","improper integrals","area between curves",
+                                         "volumes of revolution","arc length","parametric equations","polar coordinates"],
             "Multivariable Calculus": ["partial derivatives", "multiple integrals", "vector fields", "optimization"],
             "Linear Algebra": ["matrices", "vector spaces", "eigenvalues", "linear transformations"],
             "Differential Equations": ["first order equations", "second order equations", "systems", "stability analysis"],